cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A200412 Decimal expansion of least x>0 satisfying 4*x^2+x+1=tan(x).

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%I A200412 #8 Feb 07 2025 16:44:07
%S A200412 1,4,8,2,3,0,6,6,2,7,5,7,2,3,7,6,1,1,3,9,0,7,0,5,8,9,9,3,0,2,9,1,1,5,
%T A200412 1,1,6,9,0,1,2,4,0,8,6,0,5,5,4,6,4,8,8,3,0,4,4,9,5,5,6,8,3,0,5,7,8,1,
%U A200412 5,9,4,9,4,9,0,3,1,1,4,9,8,7,8,4,0,7,4,4,1,6,5,6,4,2,8,4,7,8,9
%N A200412 Decimal expansion of least x>0 satisfying 4*x^2+x+1=tan(x).
%C A200412 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200412 x=1.482306627572376113907058993029115116901240860...
%t A200412 a = 4; b = 1; c = 1;
%t A200412 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200412 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200412 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200412 RealDigits[r]  (* A200412 *)
%Y A200412 Cf. A200338.
%K A200412 nonn,cons
%O A200412 1,2
%A A200412 _Clark Kimberling_, Nov 18 2011